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Finding the Fourth Proportional to 16,478.19, 24,712.17 and 5,946.84

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Solution

The fourth proportional to 16,478.19, 24,712.17 and 5,946.84 is: 8,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.19 : 24,712.17 = 5,946.84 : x
  2. Step 2: Convert to fraction form
    16,478.19/24,712.17 = 5,946.84/x
  3. Step 3: Cross multiply
    16,478.19x = 24,712.17 × 5,946.84
  4. Step 4: Simplify right side
    16,478.19x = 146,959,321.04
  5. Step 5: Solve for x
    x = 146,959,321.04/16,478.19
  6. Step 6: Final answer
    x = 8,918.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.